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Finding the Fourth Proportional to 349.80, 522.21 and 348.84

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Solution

The fourth proportional to 349.80, 522.21 and 348.84 is: 520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.80 : 522.21 = 348.84 : x
  2. Step 2: Convert to fraction form
    349.80/522.21 = 348.84/x
  3. Step 3: Cross multiply
    349.80x = 522.21 × 348.84
  4. Step 4: Simplify right side
    349.80x = 182,167.74
  5. Step 5: Solve for x
    x = 182,167.74/349.80
  6. Step 6: Final answer
    x = 520.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.